100102000102200 has 288 divisors, whose sum is σ = 337199904990000. Its totient is φ = 26612620277760.

The previous prime is 100102000102189. The next prime is 100102000102201. The reversal of 100102000102200 is 2201000201001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1525702996 + ... + 1525768604.

Almost surely, 2^{100102000102200} is an apocalyptic number.

100102000102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102000102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168599952495000).

100102000102200 is an abundant number, since it is smaller than the sum of its proper divisors (237097904887800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102000102200 is a wasteful number, since it uses less digits than its factorization.

100102000102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68199 (or 68187 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102000102200 its reverse (2201000201001), we get a palindrome (102303000303201).

The spelling of 100102000102200 in words is "one hundred trillion, one hundred two billion, one hundred two thousand, two hundred".